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For the two dimensional flow, the stream functionis given by ψ =2xy. The velocity at a point (3,4) is
- a)6m/sec
- b)8 m/sec
- c)10 m/sec
- d)12 m/sec
Correct answer is option 'C'. Can you explain this answer?
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For the two dimensional flow, the stream functionis given by ψ =2...
Solution:
Given, stream function, ψ = 2xy
The velocity components can be obtained as follows:
u = ∂ψ/∂y = 2x
v = -∂ψ/∂x = -2y
At the point (3,4), we have:
u = 2(3) = 6 m/s
v = -2(4) = -8 m/s
The magnitude of velocity is given by:
|V| = √(u² + v²)
|V| = √(6² + (-8)²)
|V| = √(36 + 64)
|V| = √100
|V| = 10 m/s
Therefore, the velocity at point (3,4) is 10 m/s. Hence, option C is the correct answer.
Given, stream function, ψ = 2xy
The velocity components can be obtained as follows:
u = ∂ψ/∂y = 2x
v = -∂ψ/∂x = -2y
At the point (3,4), we have:
u = 2(3) = 6 m/s
v = -2(4) = -8 m/s
The magnitude of velocity is given by:
|V| = √(u² + v²)
|V| = √(6² + (-8)²)
|V| = √(36 + 64)
|V| = √100
|V| = 10 m/s
Therefore, the velocity at point (3,4) is 10 m/s. Hence, option C is the correct answer.
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For the two dimensional flow, the stream functionis given by ψ =2...
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For the two dimensional flow, the stream functionis given by ψ =2xy. The velocity at a point (3,4) isa)6m/secb)8 m/secc)10 m/secd)12 m/secCorrect answer is option 'C'. Can you explain this answer?
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